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Volume Calculator

Calculate the volume of common three-dimensional geometric shapes like cubes, cuboids, cylinders, cones, spheres, hemispheres, prisms, and pyramids for excavation, storage, and material estimation.

CalculatorHow to CalculateFormulas & ExamplesFAQs

Select a shape and enter dimensions to calculate.

Dimension Specifications

Dimension Guide
Side

Ready to Calculate

Select a geometric shape, enter your dimensions, and click Calculate to see results.

Formula Details

Select a shape above to display its corresponding geometry formula and variables, or browse the specific calculations below:

Calculation Example

Worked Example
Scenario

Water Storage Tank: Determine the volume of a cylindrical water storage tank measuring 6 feet in radius and 10 feet in height.

Calculation Steps
  1. 1.Select Cylinder shape and enter dimensions: Radius = 6 ft, Height = 10 ft.
    Radius = 6 ft, Height = 10 ft
  2. 2.Compute volume using the cylindrical formula.
    Volume = π × (6 ft)² × 10 ft ≈ 1,130.97 ft³
  3. 3.Convert to equivalent cubic units for delivery ordering.
    Volume = 1,130.97 ft³ (equivalent to 41.89 yd³ or 32.03 m³)
Final Quantity NeededVolume: 1,130.97 ft³
Worked Example
Scenario

Concrete Column: Calculate the concrete volume required for a rectangular column (cuboid shape) measuring 1.5 feet long, 1.5 feet wide, and 12 feet tall.

Calculation Steps
  1. 1.Select Cuboid shape and enter dimensions: Length = 1.5 ft, Width = 1.5 ft, Height = 12 ft.
    Length = 1.5 ft, Width = 1.5 ft, Height = 12 ft
  2. 2.Compute concrete volume.
    Volume = 1.5 ft × 1.5 ft × 12 ft = 27.00 ft³
  3. 3.Convert to cubic yards (standard ordering unit).
    Volume = 27.00 ft³ / 27 = 1.00 yd³ (equivalent to 0.76 m³)
Final Quantity NeededVolume: 27.00 ft³ (1.00 yd³)
Worked Example
Scenario

Cylindrical Excavation: Estimate the volume of soil excavated when drilling a foundation shaft with a radius of 2 feet and depth/height of 15 feet.

Calculation Steps
  1. 1.Select Cylinder shape and enter dimensions: Radius = 2 ft, Height = 15 ft.
    Radius = 2 ft, Height = 15 ft
  2. 2.Compute excavation volume.
    Volume = π × (2 ft)² × 15 ft ≈ 188.50 ft³
  3. 3.Convert to cubic yards and cubic meters.
    Volume = 188.50 ft³ (equivalent to 6.98 yd³ or 5.34 m³)
Final Quantity NeededVolume: 188.50 ft³

How to Use

Follow these simple steps to calculate the volume and equivalent cubic conversions for your project:

  1. Select the shape: Click on one of the 8 shape icons at the top (Cube, Cuboid, Cylinder, Cone, Sphere, Hemisphere, Prism, or Pyramid).
  2. Enter dimensions: Supply the required dimensions for the chosen shape in the dynamic fields.
  3. Choose the preferred unit system: Toggle between Imperial (ft/in/yd) and Metric (m/cm/mm) to match your measurements.
  4. Click Calculate: Click the Calculate button to process the dimensions.
  5. Review the results: View the calculated Volume alongside a list of equivalent conversions in other units.
  6. Start a new estimation: Click **Reset** if you want to clear fields and start a new volume calculation.

Frequently Asked Questions

How do I calculate volume?
Volume is generally calculated by multiplying the area of a shape's base by its height, with adjustments depending on the geometry. For example, a rectangular cuboid volume is Length × Width × Height, while a cylinder is π × Radius² × Height.
What is the difference between volume and surface area?
Volume measures the three-dimensional space enclosed inside an object (expressed in cubic units like ft³ or m³). Surface area measures the total two-dimensional area of the outer faces or boundaries of the object (expressed in square units like ft² or m²).
Which unit should I use?
Select the unit system matching your construction plan documents or local supplier specs. Standard metric units include millimeters (mm) for precision fabrications, centimeters (cm) for general layouts, and meters (m) for site grading. Imperial units include inches (in) for detailing, feet (ft) for framing/foundation dimensions, and yards (yd) for ordering bulk materials like soil, concrete, or aggregate gravel.
Can I switch between Metric and Imperial?
Yes, you can toggle between Imperial (in, ft, yd) and Metric (mm, cm, m) systems at the top of the card. Inputs, labels, and results will automatically convert instantly.
How accurate are the calculations?
The calculations are mathematically exact based on standard geometric formulas, using the standard value of π (Pi) for round geometry. The precision of results is set to 2 decimal places, which exceeds typical field construction tolerances.
Why doesn't every shape use the same dimensions?
Different three-dimensional shapes have distinct geometric properties. A cube only needs one side length because all its edges are equal, whereas a cuboid requires three dimensions (length, width, height) to define its volume. A cylinder requires a circular radius and height, while custom shapes like prisms require a base area and vertical height.

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Disclaimer

Calculations are estimates based on the values you enter and standard engineering formulas. Results are intended for planning and estimation only. Always verify critical measurements, specifications, and local building requirements before purchasing materials or beginning construction.